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Finding the Third Proportional to 150,966 and 319,912

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Solution

The third proportional to 150,966 and 319,912 is: 677,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,966 : 319,912 = 319,912 : x
  2. Step 2: Convert to fraction form
    150,966/319,912 = 319,912/x
  3. Step 3: Cross multiply
    150,966x = 319,912 × 319,912
  4. Step 4: Simplify right side
    150,966x = 102,343,687,744
  5. Step 5: Solve for x
    x = 102,343,687,744/150,966
  6. Step 6: Final answer
    x = 677,925.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.